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Finding the Fourth Proportional to 30,874.41, 42,606.72 and 16,727.24

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Solution

The fourth proportional to 30,874.41, 42,606.72 and 16,727.24 is: 23,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.41 : 42,606.72 = 16,727.24 : x
  2. Step 2: Convert to fraction form
    30,874.41/42,606.72 = 16,727.24/x
  3. Step 3: Cross multiply
    30,874.41x = 42,606.72 × 16,727.24
  4. Step 4: Simplify right side
    30,874.41x = 712,692,937.57
  5. Step 5: Solve for x
    x = 712,692,937.57/30,874.41
  6. Step 6: Final answer
    x = 23,083.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.